English

An Operator--like Description of Love Affairs

Physics and Society 2010-10-04 v1

Abstract

We adopt the so--called \emph{occupation number representation}, originally used in quantum mechanics and recently considered in the description of stock markets, in the analysis of the dynamics of love relations. We start with a simple model, involving two actors (Alice and Bob): in the linear case we obtain periodic dynamics, whereas in the nonlinear regime either periodic or quasiperiodic solutions are found. Then we extend the model to a love triangle involving Alice, Bob and a third actress, Carla. Interesting features appear, and in particular we find analytical conditions for the linear model of love triangle to have periodic or quasiperiodic solutions. Numerical solutions are exhibited in the nonlinear case.

Keywords

Cite

@article{arxiv.1010.0210,
  title  = {An Operator--like Description of Love Affairs},
  author = {Fabio Bagarello and Francesco Oliveri},
  journal= {arXiv preprint arXiv:1010.0210},
  year   = {2010}
}

Comments

In press in SIAM Journal of Applied Mathematics